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Finding the Third Proportional to 32,767.50 and 49,110

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Solution

The third proportional to 32,767.50 and 49,110 is: 73,603.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.50 : 49,110 = 49,110 : x
  2. Step 2: Convert to fraction form
    32,767.50/49,110 = 49,110/x
  3. Step 3: Cross multiply
    32,767.50x = 49,110 × 49,110
  4. Step 4: Simplify right side
    32,767.50x = 2,411,792,100
  5. Step 5: Solve for x
    x = 2,411,792,100/32,767.50
  6. Step 6: Final answer
    x = 73,603.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.